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Finding the Fourth Proportional to 7,870.41, 11,800.29 and 3,916.65

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Solution

The fourth proportional to 7,870.41, 11,800.29 and 3,916.65 is: 5,872.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.41 : 11,800.29 = 3,916.65 : x
  2. Step 2: Convert to fraction form
    7,870.41/11,800.29 = 3,916.65/x
  3. Step 3: Cross multiply
    7,870.41x = 11,800.29 × 3,916.65
  4. Step 4: Simplify right side
    7,870.41x = 46,217,605.83
  5. Step 5: Solve for x
    x = 46,217,605.83/7,870.41
  6. Step 6: Final answer
    x = 5,872.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.